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tamaranim1 [39]
3 years ago
14

John decided to leave his job and open a bookshop in the city center. He was working as an engineer before and getting an annual

salary of $35000. For the bookshop he paid $20000 for his worker, $15000 for rent, $10000 for utilities. He used his savings that was equivalent to $60000 at an interest rate of 7%. He bought all the books that he planned to sell by his savings. If he opens his bookshop in mall rather than city center his profit was predicted to be $25000. At the end of the first year his revenue from sales was identical to $210000. For John a) Calculate the implicit costs. b) Calculate the explicit costs. c) Calculate the total cost. d) Calculate his profit/loss. e) Should he continue to the business or go back to his job?
Business
1 answer:
marishachu [46]3 years ago
3 0

Answer:

a) Calculate the implicit costs

Implicit costs are the opportunity costs, the earnings that John forgone for running his business. These are:

His $35,000 annual salary as an engineer.

His $60,000 savings earning a 7% interest rate, for a total annual return of $64,200,

So his total implicit costs are 35,000 + 64,200 = $99,200

b) Calculate the explicit costs.

The explicit costs are the things John has to actually pay money for while running his business: 20,000 for his worker + 15,000 for rent, and 10,000 for utilities = 45,000 in total.

c) Calculate the total cost.

Total costs = implicit costs + explicit costs

Total costs = 99,200 + 45,000

Total costs = 144,200

d) Calculate his profit/loss.

His accounting profit is the revenue he obtains from his business minus his explicit costs:

accounting profit = 210,000 - 45,000 = 165,000 profit

His economic profit is the revenue minus his total costs

economic profit = 210,000 - 144,200 = 65,800 profit

e) Should he continue to the business or go back to his job?

He should continue running his business because he is earning both an economic profit and an accounting profit compared with what he was earning as an engineer + his savings.

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Answer:

a. Complex Systems' bond price​ today = $1,476.36

Explanation:

a. If bonds of similar risk are currently earning a rate of return of 9​%, how much should the Complex Systems bond sell for​ today?

This can be calculated by adding the Present Value of Coupons and the Present Value of Par Value as follows:

<u>Calculation of Present Value of Coupons</u>

The present of coupons is calculated using the formula for calculating the present value of an ordinary annuity as follows:

Present value of coupons = C × [{1 - [1 ÷ (1 + r)]^n} ÷ r] …………………………………. (1)

Where;

C = Annual coupon amount = Par value * Coupon rate = $1,000 * 16% = $160

r = required rate of return or return of similar risk = 9%, or 0.09

n = number of years = 11

Substitute the values into equation (1) to have:

Present value of coupons = $160 × [{1 - [1 ÷ (1 + 0.09)]^11} ÷ 0.09] = $1,088.83

<u>Calculation of Present Par of Value</u>

To calculate this, we use the present value formula as follows:

Present Value of Par Value = Par value / (1 + r)^n

Since Par Value is $1000 and r and n are as already given above, we have:

Present value of Par Value = $1,000 / (1 + 0.09)^11 = $387.53

Therefore, we have:

Complex Systems' bond price​ today = Present value of coupons + Present value of Par Value = $1,088.83 + $387.53 = $1,476.36

b. Describe the two possible reasons why the rate on​ similar-risk bonds is below the coupon interest rate on the Complex Systems bond.

The following are the possible two reasons:

1. Interest may vary bust the coupon is fixed. What can cause the interest rate to vary is the bond rating by rating agency. But his will not affect the coupon rate which is fixed. When the rating is high, the interest will be low. But when the rating is low, the interest will be high. This indicates a negative relationship between the rating and the interest rate.

2. The level of demand may also influence the interest rate to change. When the demand is high, the interest will be low. But when the demand is low, the interest will be high. This also indicates a negative relationship between the demand and the interest rate.

c. If the required return were at 16​% instead of 9​%, what would the current value of Complex​ Systems' bond​ be? Contrast this finding with your findings in part a and discuss.

To do this, we simply change he required return to 16% (or 0.16) in part a and proceed as follows:

Present value of coupons at 16% = $160 × [{1 - [1 ÷ (1 + 0.16)]^11} ÷ 0.016] = $804.58

Present value of Par Value at 16% = $1,000 / (1 + 0.16)^11 = $195.42

Complex Systems' bond price​ today at 16% = $804.58 + $195.42 = $1,000.00

Comparing part c result with part a result shows that if the coupon rate is greater than the required rate of return, the bond is sold at a premium. That is, price of bond will be more than par. As it can be seen in part a, the price of bond is $1,476.36 when the coupon rate of 16% is greater than the required return of 9%.

Also, the bond will be sold at par when the coupon rate and require return are equal. This is shown in part c where the bond is sold at $1,000 when both coupon rate and required return rate are equal to 16%.

By implication, we can also infer without doing any calculation that the bond will be sold at a discount if the coupon rate is less than the required rate of return.

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Answer:

Step 1:

Start by setting it up with the divisor 20 on the left side and the dividend 16 on the right side like this:

           

 2 0 ⟌ 1 6  

Step 2:

The divisor (20) goes into the first digit of the dividend (1), 0 time(s). Therefore, put 0 on top:

       0    

 2 0 ⟌ 1 6  

Step 3:

Multiply the divisor by the result in the previous step (20 x 0 = 0) and write that answer below the dividend.

       0    

 2 0 ⟌ 1 6  

       0    

Step 4:

Subtract the result in the previous step from the first digit of the dividend (1 - 0 = 1) and write the answer below.

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Step 5:

Move down the 2nd digit of the dividend (6) like this:

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Step 6:

The divisor (20) goes into the bottom number (16), 0 time(s). Therefore, put 0 on top:

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Step 7:

Multiply the divisor by the result in the previous step (20 x 0 = 0) and write that answer at the bottom:

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Step 8:

Subtract the result in the previous step from the number written above it. (16 - 0 = 16) and write the answer at the bottom.

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     -   0  

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The answer is the top number and the remainder is the bottom number.

Therefore, the answer to 16 divided by 20 calculated using Long Division is:

0

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Explanation:

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